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Finding the Fourth Proportional to 3,174.60, 4,758.49 and 1,324.32

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Solution

The fourth proportional to 3,174.60, 4,758.49 and 1,324.32 is: 1,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.60 : 4,758.49 = 1,324.32 : x
  2. Step 2: Convert to fraction form
    3,174.60/4,758.49 = 1,324.32/x
  3. Step 3: Cross multiply
    3,174.60x = 4,758.49 × 1,324.32
  4. Step 4: Simplify right side
    3,174.60x = 6,301,763.48
  5. Step 5: Solve for x
    x = 6,301,763.48/3,174.60
  6. Step 6: Final answer
    x = 1,985.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.